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Finding the Third Proportional to 78,809 and 118,296

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Solution

The third proportional to 78,809 and 118,296 is: 177,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,809 : 118,296 = 118,296 : x
  2. Step 2: Convert to fraction form
    78,809/118,296 = 118,296/x
  3. Step 3: Cross multiply
    78,809x = 118,296 × 118,296
  4. Step 4: Simplify right side
    78,809x = 13,993,943,616
  5. Step 5: Solve for x
    x = 13,993,943,616/78,809
  6. Step 6: Final answer
    x = 177,567.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.